Shelah's excellence conjecture for atomic classes
Shelah's excellence conjecture for atomic classes
Let be a countable first-order theory and let be its class of atomic models. Excellence conjecture. If is categorical in every for , then is excellent. The claim would show that the counterexamples discussed in the source are best possible; the source says this appears far away and treats it as open.
Sources & referencesView supporting material
Primary source
Saharon Shelah, “A.E.C. with not too many models”, arXiv:1302.4841 (2013).
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